Cluster Algebras Portal
This is a collection of links on cluster algebras and
related topics.
Papers
Conferences, summer schools, and lecture series
20032010 (49 events)
 Cluster algebras
at the
Sophus Lie Conference Center,
Nordfjordeid, 2003.
 Lecture notes for the
conference
Current Developments
in Mathematics, Cambridge, MA, 2003.
 Root systems and
generalized associahedra,
Park City Mathematics Institute,
2004.

Braid Groups, Clusters and Free Probability, Palo Alto, 2005.

Cluster
algebras, master class at
CIRM,
Luminy, 2005.

Representations of Algebras and Related Topics, Boston, 2005.

Representation Theory and Related Topics, Trieste, 2006.

Teichmüller Theory and Cluster Algebras, Leicester, 2006.

Cluster Algebras and Cluster Tilted Algebras,
Bielefeld, 2006.

Cluster Algebras and Applications (NSF/CBMS),
Raleigh, 2006.

Perspectives on rings and algebras,
Murcia, 2006.

Microlocal and Geometric Methods in Representation Theory,
Schloss Reisensburg, 2006.

Perspectives in Representation Theory,
Bad Honnef, 2006.

Symmetries and Integrability of Difference Equations,
Melbourne, 2006.

XIX Escola de Algebra, Belo Horizonte, 2006.

Quantum Moduli Spaces and TQFT,
Aarhus, 2006.

Cluster algebras
minicourse at University of Lisbon, 2006.

Cluster algebras at CMS Meeting,
Toronto, 2006.

Groupes, géometrie et représentations, Amiens, 2007.

Perspectives in AuslanderReiten Theory, Trondheim, 2007.

ICRA XII, Torun, 2007.

Categorification, Quantization and Clusters, Beijing, 2007.

Maurice Auslander Lectures, Boston, 2007.

Representation Theory and Related Topics, Boston, 2007.
 LieGrits
Workshop, Oxford, 2008.

Lie Theory,
MSRI, 2008.

Topics in Combinatorial Representation Theory,
MSRI, 2008.
 Higher Teichmüller Theory, Clusters and Quantization,
Jerusalem, 2008.

Combinatorics of moduli spaces, Hurwitz numbers, and cluster
algebras,
Moscow, 2008.

Representation Theory of Algebras,
Tehran, 2008.

Algebraic Structures in Geometry and Physics,
Leicester, 2008.

ICRA XIII, Sao Paulo, 2008.

Interactions Between Noncommutative Algebra and Algebraic
Geometry, Banff, 2008.
 Cluster Algebras and
Related Topics, Morelia and Mexico City, 2008.
 Representations of Algebras and
Related Topics, Woods Hole, 2009.
 Felix
Klein Lectures, Bonn, 2009.

Homological and geometric methods in algebra, Trondheim, 2009.

Representation Theory and Combinatorics, Beijing, 2009.

Séminaire
Bourbaki, Paris, 2009.

Combinatorics and Representation Theory, Coimbra, 2010.

Dean Jacqueline B. Lewis Memorial Lectures, New Brunswick, NJ, 2010.

Homological and Geometrical Methods in Representation Theory, Trieste, 2010.

Combinatorics of Moduli Spaces, Cluster Algebras, and Symplectic Invariants, Moscow, 2010.

Cluster algebras and representation theory, Leeds, 2010.

Teichmüller Theory and its Interactions in Mathematics and
Physics, Bellaterra, 2010.

Cluster algebras and quiver representations, Tehran, 2010.

ICRA XIV, Tokyo, 2010.

Colloque sur les surfaces et les représentations, Sherbrooke, 2010.

Algebraic and geometric aspects of discrete integrable systems  Integrable systems and cluster algebras,
Tokyo, 2010.
20112020 (89 events)

Cluster Algebras and Lusztig's Semicanonical Basis,
Eugene, OR, 2011.

Abel Symposium: Algebras, Quivers, and Representations,
Balestrand, Norway, 2011.

Cluster Algebras and Cluster Combinatorics,
Summer Graduate Workshop, MSRI, 2011.

Twentyfive years of representation theory of quantum groups,
Banff, 2011.

Cluster algebras and statistical physics,
ICERM, Providence, 2011.

Cluster algebras, representation theory, and Poisson geometry,
Banff, 2011.

Wall crossing,
BuressurYvette, 2011.

Quantum cluster algebras
and related topics, Osaka, 2011.

Noncommutative
Birational Geometry and Cluster Algebras, Boston, 2012.

Cluster
Categories and Cluster Tilting,
Trondheim,
2012.

Cluster Algebras and Combinatorics,
Graz, 2012.

Tropical geometry and cluster algebras, Paris, 2012.

Geometry,
representation theory and clusters,
Leicester, 2012.

Combinatorics of moduli spaces, cluster algebras, knots, and
topological recursion, Moscow, 2012.

Cluster Algebras and Related Topics, Regina, 2012.

ICRA XV, Bielefeld, 2012.

Connections for Women, Cluster Algebras and
Commutative Algebra programs, MSRI, 2012.

Introductory Workshop, Cluster Algebras and Commutative
Algebra programs, MSRI, 2012.

Mathematics and Physics of Moduli
Spaces, Heidelberg, 2012.

Cluster Algebras in Combinatorics, Algebra, and Geometry, MSRI,
2012.

Triangulations and Mutations, Newcastle,
2013.

Cluster Algebras and Related Combinatorics, AMS Special Session,
Boulder, CO,
2013.

Maurice
Auslander Lectures and Conference, Woods Hole, MA,
2013.

Algebra, Combinatorics and Representation Theory
(Zelevinsky Fest),
Boston, 2013.

Cluster Algebras and
Tropical Geometry, Strasbourg,
2013.

Mirror Symmetry and Cluster Algebras,
Leeds, 2013.

Cluster Algebras and Representation Theory, Oberwolfach,
2013.

Cluster Algebras and Related Topics, Oberwolfach,
2013.

Cluster Algebras and Combinatorics,
Münster, 2014.

Hall and Cluster Algebras,
Montreal, 2014.

Cluster Algebras,
Snowbird, UT, 2014.

Noncrossing partitions in representation theory,
Bielefeld, 2014.

Combinatorics of Moduli Spaces,
Cluster Algebras and Topological Recursion, Moscow, 2014.

Integrability and Cluster Algebras: Geometry and Combinatorics,
ICERM, Providence, 2014.

Cluster Algebras in Mathematical Physics, Summer School,
Nagoya, 2014.

Cluster algebras
and preprojective algebras, Cardiff, 2014.

Cluster algebras and representation theory, Seoul, 2014.

Cluster algebras in combinatorics and topology, Seoul, 2014.

Strings, quivers and cluster algebras in mathematical physics, Seoul, 2014.

Cluster Algebras and Dynamical Systems,
Münster, 2015.

Cluster algebras and integrable systems, Durham, 2015.

SAGE
Days 64.5: Cluster Algebras, Minneapolis, 2015.

Cluster
algebras and finite dimensional algebras, Leicester, 2015.

Algebraic
Interfaces of Integrability,
Leeds, 2015.

Positive
Grassmannians, Montreal, 2015.

Total
positivity: a bridge between representation theory and physics, Canterbury, 2016.

Homological Methods, Representation Theory and Cluster Algebras, Mar del Plata, 2016.

Cluster
Algebras and Geometry, Münster, 2016.

Hot Topics: Cluster algebras
and wallcrossing, MSRI, Berkeley, 2016.

Quivers and bipartite
graphs, London, 2016.

Combinatorics of Moduli Spaces,
Hurwitz numbers, and cohomological field theories, Moscow, 2016.

Symmetries and Integrability of Difference Equations,
SainteAdèle, QC, 2016.

ICRA 2016, Syracuse, 2016.

Lie theory and cluster algebras, Rome, 2016.

Quivers,
cluster algebra and mathematical physics, Hong Kong, 2016.

Stability conditions, DonaldsonThomas invariants and cluster varieties, Sheffield, 2017.

Cluster algebras and log GromovWitten invariants
in the GrossSiebert program, KIAS, Seoul, 2017.

New
trends in representation theory: The impact of cluster theory in
representation theory,
Leicester, 2017.

Quiver
Grassmannians and their applications, Wuppertal, 2017.

Cluster algebras in mathematical physics, Mainz, 2017.

Cluster
algebras,
Storrs, CT, 2017.

Cluster algebras and related topics,
Tianjin, 2017.

Cluster varieties and mathematical physics, Oaxaca, January 2018.

Cluster algebras: Twenty years on, Luminy, March 2018.

Cluster algebras and mathematical physics, East Lansing, May 2018.

Rmatrices, cluster algebras, and integrable systems, Nagoya, May 2018.

Combinatorics
of moduli spaces, cluster algebras and topological recursion,
Moscow, June 2018.

Interactions of quantum affine algebras with cluster algebras, current algebras and categorification, June 2018.

Noncommutative structures, cluster algebras and applications (Retakh Fest), Angers, June 2018.

Cluster algebras and algebraic geometry, Nottingham, July 2018.

Stability
conditions and representation theory of finitedimensional
algebras, Banff, OctoberNovember 2018.

Combinatorics and beyond,
Ann Arbor, November 2018.

Cluster algebras, Bangalore, December 2018.

Cluster structures in
geometry, physics, combinatorics and representation theory, Jerusalem, December 2018.

Tropical Geometry meets Representation Theory II, Leicester, April 2019.

Faces of integrability, Montreal, AprilMay 2019.

Interactions between representation theory and homological mirror symmetry, Leicester, May 2019.

Mirror Symmetry and Cluster Algebras, Cambridge, UK, July 2019.

Quiver varieties and representation theory, Montreal, August 2019.

Mutations: mirror symmetry, deformations, and combinatorics, Banff, August 2019.

Algèbres amassées, théorie des représentations et combinatoire, Amiens, September 2019.

Algebraic Representation Theory and Related Topics, Sanya, October 2019.

Poisson Geometry, Stokes Automorphisms and Cluster Algebras, Beijing, December 2019.

Cluster Algebras, Representation Theory, and Geometry, Osaka, March 2020 (canceled).

75th Encounter with Mathematics:
Cluster Algebras, Tokyo, March 2020.

Cluster Algebras and the Geometry of Scattering Amplitudes, Edinburgh, March 2020.

The McKay correspondence, mutation and related topics, , (online), JulyAugust 2020.

ICRA 2020,
Trieste, July 2020 November 2020 (online).

Dimers in Combinatorics and Cluster Algebras,
Ann Arbor, August 2020 (online).

Cluster Algebras 2020,
August 2020 (online).

Cluster algebras and plabic graphs, AMS Special Session (online), October 2020.
2021 and beyond

Legendrians, cluster algebras,
and mirror symmetry, IBS/Pohang (online), January 2021.

Braids, mutations and twists in algebra and geometry, Uppsala, MayJune 2021.

Cluster algebras and related topics, Beijing (online), August 2021.

Cluster algebras and moduli spaces, Sochi, August 2021.

Cluster algebras and representation theory research school,
Cambridge, UK, September 2021.

New developments in representation theory arising from cluster algebras,
Cambridge, UK, September 2021.

Infinite Analysis 21: Around cluster algebras,
Japan (online), September 2021.

Interdisciplinary applications of cluster algebras,
Cambridge, UK, November 2021.

Scattering amplitudes, cluster algebras, and positive geometries,
Oberwolfach, December 2021.

Quantum groups and cluster algebras,
Seoul (online), February 2022.

WINART3 workshop,
Banff, April 2022.

Bridges between representation theory and algebraic geometry:
Singularities, friezes and cluster categories, Leeds, May 2022.

Combinatorics of moduli spaces, cluster algebras and topological recursion (canceled),
St. Petersburg and
Moscow, June 2022.

Geometric and combinatorial methods in homological algebra,
Aarhus, July 2022.

Mutations: from cluster algebras to representation theory,
Montreal, July 2022.

ICRA 20,
MontevideoBuenos Aires, August 2022.

Trends in cluster algebras,
Japan (online), September 2022.

Bases for cluster algebras,
Oaxaca, September 2022.

Cluster algebras, topological recursion and integrability,
Moscow (online), October 2022.

Representation theory, combinatorics and geometry,
Singapore, December 2022January 2023.

Interplay between symplectic geometry and cluster theory,
Heidelberg, January 2023.

Quivers, clusters, moduli and stability,
Oxford, January 2023.

Cluster algebras and braid varieties,
San Jose, January 2023.

Representation theory of quivers and finitedimensional algebras,
Oberwolfach, February 2023.

Combinatorics and geometry of convex polyhedra,
Stony Brook, March 2023.

Categories, clusters, and completions,
Aarhus, March 2023.

Advances in cluster algebras 2023 (online), March 2023.

Crossroads of geometry, representation theory and higher structures,
Puerto Madryn, Argentina, March 2023.

Combinatorial aspects of representation theory,
Oslo, March 2023.

Cluster algebras, positivity and related topics,
Cincinnati, OH, April 2023.

Mutations in representation theory of algebras
(online), May 2023.

Cluster algebras and Poisson geometry,
Levico Terme, June 2023.

Cluster algebras and related topics in East Asia,
Seoul, June 2023.

Cluster structures in the North,
Preston, UK, June 2023.

Combinatorial representation theory,
Leeds, July 2023.

Dimers:
Combinatorics, representation theory and physics,
New York City, August 2023.

Summer school on cluster algebras,
(online), August 2023.

Polylogarithms, cluster algebras, and scattering amplitudes,
College Park, MD, September 2023.

Cluster algebra, representation theory and algebraic geometry,
Hong Kong, September 2023.

Arbeitsgemeinschaft: Cluster Algebras,
Oberwolfach, October 2023.

Current trends in representation theory, cluster algebras and geometry,
Luminy, November 2023.

Cluster algebras and its applications,
Oberwolfach, January 2024.

Clusters and their applications in the North,
Glasgow, January 2024.

Mathematical aspects of N=4 superYangMills Theory,
Stony Brook, February 2024.

Continued fractions and SL_{2}tilings,
Durham, March 2024.

Statistical mechanics and discrete geometry,
IPAM, Los Angeles, March 2024.

ICRA 21,
Shanghai, August 2024.

Mathematical structures in scattering amplitudes,
Florence, AugustSeptember 2024.
Seminars and working groups

Université Lyon 1, 2004.

Institut de
Mathématiques de Jussieu, 20042010.

Université de Picardie, 2004.

UNAM, Mexico,
2004,
2007.

University of Leicester, 2005.

Fields Institute, 200506.

University of Bielefeld, 200506.

University of Manchester, 200607.

University of Leeds, 2007.
 ETH Zürich,
200607,
2009,
2010.

University of Paderborn, 200810.

University of Hannover, 2009.

University of Sherbrooke, 2010.

M.I.T.Northeastern, 2011.

University of California at Berkeley, 2011.

University of Bonn, 2012.

University of Connecticut, 2013present.

University of California at Berkeley, 2013.

Nagoya University, 20132015.

University of Michigan, 2014.
 University of Notre Dame:
2016,
2019.
 Université de
Strasbourg, 2016.
 Michigan State University, 2017present.
 Zoom Cluster Seminar, 2020.
 Online Cluster Algebras Seminar, 2020.
 Yale University, 20202021.
 HSE Moscow, 20212022.

Cluster structures on coordinate rings, 20212022.

University of Hamburg, 20212022.
Courses

University of Leeds, 2008 (by B. R. Marsh)

UNAM, 2008 (by Michael Barot
and Christof Geiss)

Harvard University, 2008 (by Lauren Williams)

University of Oregon, 2009 (by Arkady Berenstein)

Northeastern University, 2009 (by Andrei Zelevinsky)
 University of Bielefeld, 2010
 University
of Hannover, 2010 (by Thorsten Holm)
 Louisiana State University,
2010 and
2011
(by Milen Yakimov)
 University of Aarhus, 2010 (by
Sergey Fomin)

University of California at Berkeley, 2011 (by Lauren Williams)
 University
of Kent, 2011
(by Andy Hone and Stephane Launois)
 University of Minnesota,
2011,
2015,
and 2016
(by Gregg Musiker)

Stony Brook University, 2011 (by Michael Movshev)

University of Bath, 2012 (by Alastair King)

UNAM, 2013 (by Christof Geiss)
 Nagoya
University, 2013
and 2014
(by Laurent Demonet)

University of Michigan, 2014 (by Sergey Fomin)

Institut Henri Poincaré, 2014 (by Lauren Williams)

North Carolina State University, 2015 (by Salvatore Stella)

CRM, 2015 (by Michael Gekhtman)

University of Illinois, 2015 (by Philippe Di Francesco)

Stockholm University, 2015 (by Michael Shapiro)
 Erwin
Schrödinger Institute,
2015 (by Andrew Hone)

UQAM, 2016 (by Hugh Thomas)
 Columbia
University, 2016 (by Lauren Williams)
 Mar
Del Plata, 2016 (by Ralf Schiffler, Ibrahim Assem, and PierreGuy
Plamondon)
 Tsinghua
University, 2016 (by Linhui Shen)
 University
of Nebraska, 2017 (by Kyungyong Lee)

University of California at Berkeley, 2017 (by Lauren Williams)

Universität Tübingen, 20172018 (by Jon Wilson)

University of Michigan, 2018 (by Sergey Fomin)
 ETH Zürich, 2018 (by Ran Tessler)
 University of Connecticut,
2018 (by Ralf Schiffler)
 M.I.T., 2018 (by Alexander Postnikov)
 Harvard University, 2018 (by ManWai Cheung)

UNAM, 2019 (by Jon Wilson)
 Hong Kong University of Science and Technology, 2019 (by Ivan Ip)
 University of Minnesota, 2020 (by Chris Fraser)
 UCLA, 2021 (by Pavel Galashin)

Sapienza University of Rome, 2021 (by Alek Vainshtein)

HSE Moscow, 2021 (by Michael Shapiro)

University of Michigan, 2021 (by Sergey Fomin)

Harvard University, 2021 (by Lauren Williams)

University of Bonn, 2021 (by Maitreyee Kulkarni)

University of Copenhagen, 2022 (by Karin Baur, Sira Gratz, and Gus Schrader)

Skoltech, 2022 (by Mikhail Bershtein)

HSE Moscow, 202223 (by Vasily Gorbounov)

University of Washington, 2023 (by Sara Billey)

Tsinghua University, 2023 (by Dylan Allegretti)
Software and data
Thematic programs and research labs

Combinatorial Representation Theory, MSRI, Berkeley, 2008.

Algebraic Lie
Theory and
Discrete
Integrable Systems, Isaac Newton Institute, Cambridge, UK, 2009.

Tropical geometry and cluster algebras, Paris/Strasbourg, 20092013.

Interaction of Representation Theory with Geometry and Combinatorics,
Hausdorff Institute, Bonn, 2011.

Cluster Algebras,
Mathematical Sciences Research Institute (MSRI), Berkeley, 2012.

Cluster
algebras in mathematics and physics, KIAS, Seoul, 2014.

Cluster Algebras,
Research Institute for Mathematical Sciences (RIMS), Kyoto, 2019.

Quiver varieties and representation theory,
CRM, Montreal, 2019.

Cluster algebras and representation theory,
Isaac Newton Institute, Cambridge, UK, 2021.

Quantum curves, integrability and cluster algebras,
MATRIX Institute, Australia, 2021.

International Laboratory of Cluster Geometry,
HSE, Moscow, 2021present.

Moduli spaces, combinatorics and Poisson geometry,
Euler Institute, St. Petersburg, 2022.
Publicity and awards
Andrei Zelevinsky, 19532013
Other
This page is maintained by
Sergey Fomin. Partially supported by the NSF.